Mechanics | Relativity Answers

A basketballer is trying to make a shot in an international game from the 3 point line (6.75 m
away from the hoop). The basketball hoop is 3.05 m above the floor, the basketballer’s hands
are 1.95 m above the floor when they release the ball at an angle of 39° above the horizontal.
What velocity would the ball have to have been thrown with to reach and fall down into the
hoop? And if the ball has a mass of 625 g what was the ball’s maximum potential energy during
the throw?

Two boys are racing for chocolates. The older one has a speed of 1.0 m/s and the younger one has a 0.50 m/s. The older one told the younger one to run first, which the younger one does. Ten seconds later the older one follows. How far would they be from the starting line for the older one to overtake the younger one.

Two iceboats A and B race on a frictionless lake. A has a mass and of m and B has mass of 2m. The wind exerts a constant force F on both boats along their direction of motion. Both boats start from rest , and both travel at the same distance s to finish line.At the finish line the speed of A is (a)equal to the speed of B
(b)greater than the speed of B
(c)less than the speed design of B
(d) cannot be obtained from the information given
Explanation of answer please

A new born baby after birth is thrown upward by her mother in the usual way (after birth child exercise) with an initial velocity of 10m/s from a height of 10 metres above the ground. Taken that the mother's hands are just at the 10metres height of throw, determine the total distance the child covered. ( Take g =10m/s ^2)

An extremely aerodynamic penny is thrown vertically downward off an observation tower. 4 seconds later, it impacts the ground 45m below. Find the impact velocity if g= 9.81m/s^2.

The Chandrayaan-2 orbiter is orbiting the moon in a circular polar orbit at a height of 1.00×105 m
above the surface. It has a mass of 2379 kg. What is the change of momentum in the orbiter
from when it passes over the North Pole compared to when it passes over the South Pole?

A shopper is in a supermarket pushing their unladen trolley westwards across an aisle at a
constant speed of 1.4 ms-1. Another shopper with groceries in their trolley is moving north out of
the aisle at 1.8 ms-1 and the trollies collide, the shoppers releasing the trollies in surprise at the
moment of collision. The trollies jam together and end up moving at a velocity of 1.234 ms-1 in a
direction 25.7° W of N. If 41.75 J of energy is lost into noise, deforming the trolleys etc. during
the collision, what is the mass of a trolley, (assuming they are the same type of trolley) and what
was the mass of the second shopper’s groceries?

A car having an initial speed of 16 meters per second is uniformly brought to rest in 4.0 seconds. How far does the car travel during this 4.0-second interval?

A box of mass 15 kg is pushed with a force of 24 N (right) a frictional force of 18 N (left ) opposes the motion of the box what is the acceleration of the box?

An airplane is flying with a velocity of 240m/s at an angle of 30.0 degrees. with the horizontal. when the altitude of the plane is 2.4km, a flare is released from the plane. the flare hits the target on the ground. What’s the angle?